<!doctype html>
<html>
<head>
    <meta charset="utf-8">
    <title>Parametric Surfaces Fun - ECHARTS-GL</title>
    <meta name="viewport" content="width=device-width, initial-scale=1, user-scalable=no">
    <meta name="apple-mobile-web-app-capable" content="yes"> <!-- Fullscreen Landscape on iOS -->
    <link rel="stylesheet" href="./common.css">
</head>
<body>
<div id="main"></div>
<script src="../node_modules/echarts/dist/echarts.js"></script>
<script src="../dist/echarts-gl.js"></script>
<script src="lib/jquery.min.js"></script>
<script src="js/commonUI.js"></script>
<script>
    // http://xahlee.info/surface/breather_p/breather_p.html
    var chart = echarts.init(document.getElementById('main'));

    var sin = Math.sin;
    var cos = Math.cos;
    var pow = Math.pow;
    var sqrt = Math.sqrt;
    var cosh = Math.cosh;
    var sinh = Math.sinh;
    var PI = Math.PI;

    chart.setOption({
        visualMap: {
            show: false,
            dimension: 2,
            min: -4,
            max: 4,
            inRange: {
                color: ['#1710c0', '#0b9df0', '#00fea8', '#00ff0d', '#f5f811', '#f09a09', '#fe0300']
            }
        },
        xAxis3D: {
            type: 'value'
        },
        yAxis3D: {
            type: 'value'
        },
        zAxis3D: {
            type: 'value'
        },
        grid3D: {
            axisPointer: {
                show: false
            },
            axisLine: {
                lineStyle: {
                    color: '#fff'
                }
            },
            temporalSuperSampling: {
                enable: true
            },
            viewControl: {
                // autoRotate: true
                // projection: 'orthographic'
            }
        },
        series: [{
            type: 'surface',
            parametric: true,
            shading: 'lambert',
            silent: true,
            wireframe: {
                show: false
            },
            itemStyle: {
                opacity: 0.5
            },
            // shading: 'albedo',
            parametricEquation: {
                u: {
                    min: -13.2,
                    max: 13.2,
                    step: 0.1
                },
                v: {
                    min: -37.4,
                    max: 37.4,
                    step: 0.1
                },
                x: function (u, v) {
                    var aa = 0.4;
                    var r = 1 - aa * aa;
                    var w = sqrt(r);
                    var denom = aa * (pow(w * cosh(aa * u), 2) + aa * pow(sin(w * v), 2))
                    return -u + (2 * r * cosh(aa * u) * sinh(aa * u) / denom);
                },
                y: function (u, v) {
                    var aa = 0.4;
                    var r = 1 - aa * aa;
                    var w = sqrt(r);
                    var denom = aa * (pow(w * cosh(aa * u), 2) + aa * pow(sin(w * v), 2))
                    return 2 * w * cosh(aa * u) * (-(w * cos(v) * cos(w * v)) - (sin(v) * sin(w * v))) / denom;
                },
                z: function (u, v) {
                    var aa = 0.4;
                    var r = 1 - aa * aa;
                    var w = sqrt(r);
                    var denom = aa * (pow(w * cosh(aa * u), 2) + aa * pow(sin(w * v), 2))
                    return 2 * w * cosh(aa * u) * (-(w * sin(v) * cos(w * v)) + (cos(v) * sin(w * v))) / denom
                }
            }
        }]
    });

    window.addEventListener('resize', function () {
        chart.resize();
    });

</script>
</body>
</html>
